Question

In right triangle DEF, ∠E is a right angle, m∠D=26∘, and DF=4.5.

sin26∘≈0.44
cos26∘≈0.90
tan26∘≈0.49
Triangle D E F with measures as described in the text.

What is the measurement of EF?
If necessary, round your answer to two decimal places, like this: 42.53

Answer 1

To find the measurement of EF in triangle DEF, use the sine function. The measurement of EF is approximately 1.98.

Step-by-step explanation:

To find the measurement of EF in triangle DEF, we can use the sine function. Since we know the angle D is 26 degrees and the length DF is 4.5, we can use the sine function to find the length of EF. The sine of an angle is equal to the length of the side opposite the angle divided by the length of the hypotenuse. So, sin(26 degrees) = EF/4.5. Rearranging the equation, we have EF = 4.5 * sin(26 degrees).

Using a calculator, sin(26 degrees) is approximately 0.44. Plugging in this value, we find that EF = 4.5 * 0.44 = 1.98.

Therefore, the measurement of EF is approximately 1.98.